Geodesic
Locally Indecomposable Galois Representations
Canadian journal of mathematics, Tome 63 (2011) no. 2, pp. 277-297

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DOI

In a previous paper the authors showed that, under some technical conditions, the local Galois representations attached to the members of a non- $\text{CM}$ family of ordinary cusp forms are indecomposable for all except possibly finitely many members of the family. In this paper we use deformation theoretic methods to give examples of non- $\text{CM}$ families for which every classical member of weight at least two has a locally indecomposable Galois representation.
DOI : 10.4153/CJM-2010-084-3
Mots-clés : 11F80 
Ghate, Eknath; Vatsal, Vinayak. Locally Indecomposable Galois Representations. Canadian journal of mathematics, Tome 63 (2011) no. 2, pp. 277-297. doi: 10.4153/CJM-2010-084-3
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     title = {Locally {Indecomposable} {Galois} {Representations}},
     journal = {Canadian journal of mathematics},
     pages = {277--297},
     year = {2011},
     volume = {63},
     number = {2},
     doi = {10.4153/CJM-2010-084-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2010-084-3/}
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